ormulate but do not solve the problem. A theater has a seating capacity of 750 and charges $2 for children, $4 for students, and $6 for adults. At a certain screening with full attendance, there were half as many adults as children and students combined. The receipts totaled $3300. How many children attended the show? (Let x, y, and z denote the number of children, students, and adults, respectively.)       = 750       = z       = 3300

Q: Solve the following system of equations algebraically: y = x -9x – 10 y = -3x- 3 %3D

A:

Q: 10. Solve the following system of equations algebraically: x² = 3y – 8 x + y = 4

A:

Q: Solve the equation using a system. 16. 2r + 2x + 1= 2x + 9 17.9x-3 =-x +7x 18.x-1 2r–x-1

A: To solve the given equations using a systems.

Q: Which of the following methods does one use for solving a system of linear equations?

A:

Q: Use substitution to solve the system. x = 3y+18 5x+2y = 5

A: We can find the value of x and y as below

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A:

Q: (Record the answer in the numerical res If y is the length and x is the width of a rectangle, then…

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Q: Solve the following system. y? X = 4 x2 + y2 = 32 O {(-4 -4) (4 -4))

A:

Q: Solve the following system of equations graphically on the set of axes below. y = x+8 Y = 37 -4

A: The given system of equations is: y=x+8y=-3x-4

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A: Given y=2x-3 x+y=-6

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A: We solve by using eigenvalues and eigenvectors.

Q: Formulate but do not solve the problem. Cantwell Associates, a real estate developer, is planning to…

A: It is given that an apartment complex consists of x one-bedroom units, y two-bed room townhouses and…

Q: Solve the following system for all solutions: a + (y +3)2 = 58 %3D -x +y = 1

A: Find y in terms of x from the equation -x+y=1 .…

Q: Use the answer from part (a) to solve the linear system

A: in question inverse of A is given also the matrix B is as below :

Q: Use the method of substitution to solve the system.

A: Consider the provided equations, x2+y2=25 ...... (1) 3x+4y=-25 ...... (2) Use the method of…

Q: Solve the following system of equations. 2x1  −  x2  −  x3  =  −3 3x1  +  2x2  +  x3  =  13…

A: Let x1=x , x2=y and x3=zSo, the equations are:2x-y-z=-33x+2y+z=13x+2y+2z=11

Q: Use the method of substitution to solve the system.

A: The given system is: x-12+y+22=10   .....1x+y=1      ......2 To simplify this system, find the value…

Q: solve each problem by setting up and solving an appropriate system of equations. Suppose that on a…

A: Consider the cost of tennis ball be 'x' and the cost of golf balls is 'y'.

Q: Solve the following system of equations. 4 2x -. 1 1 3*-y=-12 X = Dlo X

A: Given a system of equations, 2x-15y=45  ⋯⋯⋯⋯113x-12y=-12   ⋯⋯⋯⋯2 Multiplying (1) by 13 and (2) by 2.…

Q: . Solve the system given below using the method of your choice. X1 – 2x2 + x3 = 5 Xi + x2 – x3 = 0…

A:

Q: Solve each system of equations ALGEBRAICALLY. 5) x² + x + y +4 = 0 x - y = 3 6) x² + x – 2y – 2 = 0…

A: Given equations x2+x+y+4=0→1x-y=3 → 2 Here, x-y=3 x=3+y Substitute x=3+y in the first equation…

Q: The perimeter of a rectangle is 3838 meters, and the length is 55 meters longer than the width. Find…

A: Let the width be x meters. So the length is x+55 meters. Perimeter=2(l+b)

Q: Use the method of substitution to solve the system.

A: Given, x-y3=1        ......12x=9y2+2         ......2

Q: A chemical manufacturer wishes to fill an order for 500 liters of a 25% acid solution. (Twenty-five…

A:

Q: Solve the following system of equations algebraically: = 22 – 5x – 3 y = -2x – 3

A: The given system of equations is  y=x2-5x-3y=-2x-3 Use the substitution method to solve the given…

Q: (a) Solve the following system of equations to express the solution in the form of x= Xp+ Xh 2x1 –…

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Q: 3ూ డ Solve for the linear system. 10-x +2%3D ー3 2-3

A:

Q: In a three-dimensional coordinate system (R3), the equation x2 + z²=9 represents a

A:

Q: The system has an infinite number of solutions. O True O False

A: we know that a system has infinity solutions if only if one variable is free. i. e. for one variable…

Q: Solve the systems of equation by graphing a) 1 y = -x-3 }=;*-1 10 8 6 4 2+ -10 -8 -6 -4 -2 -2 -4 -6…

A:

Q: Solve the following system of equations. 2x1  −  x2  −  x3  =  5 3x1  +  2x2  +  x3  =  18…

A: Rewrite the given system of equations in matrix system as follows.

Q: Determine the solution to the system of equations graphed below and explain your reasoning in…

A: Please refer to the image below

Q: Solve each system of equations ALGEBRAICALLY. 5) x +x+ y +4 = 0 6) x² +x- 2y – 2 = 0 x- y = 3 2x – y…

A:

Q: Solve the system of equations graphically. Sy=-2x+2)2+18 ly = 6x +30

A: To solve the given equations graphically y=-2(x+2)2+18y=6x+30

Q: Solve each system of equations ALGEBRAICALLY. 5) x² + x+ y +4 = 0 x- y = 3 6) x² + x- 2y – 2 = 0 2x…

A: As per the guidelines only 3 types of subparts of 1 question is done.

Q: Solve the following system of linear equations using graphical method: (20pts) X - y = 3 2x + y = 6

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Q: At an auction, a wealthy collector paid $7,000,000 for three paintings: a Monet, a Picasso, and a…

A: Given wealthy collector paid = 7,000,000  Monet cost = 800,000 Van gosh = 200,000

Q: Solve the linear systems x - y = 0 , 2x+y=3

A:

Q: Solve the given linear system. -2 5 X' = -2 4 X(t) =

A:

Q: (a) Solve the following system of linear equations X1 + x2 + x3 X1 + (1 + a)x2 + x3 x1 + x2 + (1 +…

A:

Q: A group of tourists spends $168 to rent snorkels and fins. A total of 10 snorkels and 12 pairs of…

A: Given : A group of tourists spends $168 to rent snorkels and fins. A total of 10 snorkels and 12…

Q: Find the general solution to the system X' = AX , where 2 1/5 A = 2

A:

Q: Solve the system  { x1  +  x2                          =  3} {           x2  +  x3              =…

A:

Q: Solve the system of equations graphically. x + 2y = 0 2x – 3y = -14

A:

Q: Solve the system: (x + y = 1, x2 + y2 = 25).

A: The given system of equation is  x+y=1           …1x2+y2=25       …2

Q: Use the method of substitution to solve the system.

A: we have to use the substitution method to solve the given system. x2+y2=162y-x=4

Q: Solve the system of equations graphically. Sy=-2x +2)2+18 ly =6x +30

A: Here we have to solve the system of equations graphically.  the given system of equation is,…